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Finding the Third Proportional to 64,092 and 136,524

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Solution

The third proportional to 64,092 and 136,524 is: 290,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,092 : 136,524 = 136,524 : x
  2. Step 2: Convert to fraction form
    64,092/136,524 = 136,524/x
  3. Step 3: Cross multiply
    64,092x = 136,524 × 136,524
  4. Step 4: Simplify right side
    64,092x = 18,638,802,576
  5. Step 5: Solve for x
    x = 18,638,802,576/64,092
  6. Step 6: Final answer
    x = 290,813.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.